What is the differential material balance model for describing the concentration of dissolved solute A down the length of the tube? State three primary assumptions of your model. The model must at least contain the following variables: CAL*, CAL, kc, Z, V., D.

Answers

Answer 1

The following equation is the differential material balance model for describing the concentration of dissolved solute A along the tube's length: -kc(CAL - CAL*)/V = d(CAL)/dz.

A mathematical framework called the differential material balance model is used to explain how the concentration of a dissolved solute varies over the length of a tube or other piece of process equipment. It is commonly used to examine transport phenomena like mass transfer, heat transfer, and fluid movement and is based on the concepts of mass balance. The mass transfer coefficient, the diffusion coefficient, the flow rate, and the solute concentration are only a few of the variables that the model takes into account. For engineers and scientists working in disciplines like chemical engineering, biotechnology, and environmental engineering, where the movement of materials is a crucial component of their job, the differential material balance model is a valuable tool.

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Related Questions

A block of mass M is sliding with an initial speed vi along a horizontal surface with negligible friction. A constant force of magnitude FA is exerted on the object at an angle θ above the horizontal, causing the object to speed up. Derive an equation for the change in the block’s kinetic energy as it moves a horizontal distance Δx. The block remains in contact with the surface the entire time.

Answers

This equation describes the change in kinetic energy of the block due to the force exerted on it as it moves a horizontal distance Δx.

What is kinetic energy?

Kinetic energy is the energy an object has due to its motion. It is the energy that an object has because of its mass and velocity. Kinetic energy is measured in joules (J). Kinetic energy increases as the mass of the object increases and as the velocity of the object increases. For example, a car moving at 30 miles per hour has more kinetic energy than a car moving at 10 miles per hour.

The change in kinetic energy of the block can be calculated using the following equation:
ΔKE = (1/2)Mv2f - (1/2)Mv2i
Where M is the mass of the block, v2f is the final speed of the block, and v2i is the initial speed of the block.
To calculate the final speed of the block, we can use the equation below.
v2f = v2i + (2FAcosθΔx / M)
Where FA is the magnitude of the force, θ is the angle of the force, and Δx is the horizontal displacement of the block.
Using this equation and the equation for the change in kinetic energy, we can derive an equation for the change in the block’s kinetic energy as it moves a horizontal distance Δx.
ΔKE = (1/2)M[v2i+(2FAcosθΔx/M)]2 - (1/2)Mv2i
This equation can be simplified to:
ΔKE = (FAcosθΔx)v2i + (FAcosθΔx)2/2M
This equation describes the change in kinetic energy of the block due to the force exerted on it as it moves a horizontal distance Δx. The first term of this equation represents the increase in kinetic energy due to the increase in speed, while the second term represents the increase in kinetic energy due to the work done by the force.

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simple machines are widely used in our daily life. why?

Answers

Answer:

Simple machines are useful because they reduce effort or extend the ability of people to perform tasks beyond their normal capabilities. Simple machines that are widely used include the wheel and axle, pulley, inclined plane, screw, wedge and lever.

Answer:

Simple machines are useful because they reduce effort or extend the ability of people to perform tasks beyond their normal capabilities. Simple machines that are widely used include the wheel and axle, pulley, inclined plane, screw, wedge and lever.

Explanation:

funny answer cuz peeps be lazy

What determines the speed of a mechanical wave?

Answers

Answer:

Waves and Energy:

The speed of a wave is dependant on four factors: wavelength, frequency, medium, and temperature. Wave speed is calculated by multiplying the wavelength times the frequency (speed = l * f).

Explanation:

brainlest pls if u can ty ! i hope its helped.

how does gravity, inertia and friction play a role in throwing a ball

Answers

Answer:

The role of gravity, inertia and friction play different roles when a ball s thrown such as the following;

The thrown ball (which was initially at rest) is given its inertia by the force delivered to it (the ball) by the hand of the thrower of the ball

Force applied to the hand by the thrower of the ball has to have a balancing equal and opposite force (reaction force) for the person to remain in position (not skidding or falling over)

The reaction force mentioned above is transmitted from the hands through the body to the legs which rests on the ground

The leg pushes in the opposite direction in which the ball is thrown but due to combination of the gravity pull which is the weight which acts downward and the friction  resistance which acts sideways and increases proportionally with the weight of the thrower due to gravity, the reaction force in the leg is not able to overcome the frictional resistance force of the leg and the thrower remains upright while the throwing of the ball is successful

Gravity will then act on the ball to limit the distance traveled such that the ball will not wander away and could be directed at  desired target

Explanation:

An organization is located in an area that experiences frequent and lengthy power blackouts. what will the effect of an electric generator be in this circumstance?

Answers

Electric utility power blackouts will result in short electric power outages for the organization.

Power blackouts :

When the electrical power network, often known as the electrical grid, is down, there are power outages. Power outages can have a variety of causes, but they always tend to affect entire regions or cities rather than simply a single residence. For example, the Northeast blackout of 2003 left 50 million people without power from New York to Canada’s capital Ottawa.  

A place experiences a blackout when all power is lost. Power outages of this kind generally affect a sizable population over perhaps extraordinarily broad areas. Blackouts are particularly difficult to quickly fix because they typically result from significant damage to electrical generation facilities (such as structural damage from violent wind storms or lightning strikes). As a result, these types of outages can, in the worst-case scenarios, last for several weeks.

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The part of a longitudinal wave where the particles are spread apart is called a______?

Here are the choose of answers: A- Top Wave has the highest pitch because it has the highest amplitude.
B - Bottom Wave has the highest pitch because it has the lowest frequency.
C- Bottom Wave has the highest pitch because it has the highest frequency.

D- Both waves have the same pitch because they both have the same frequency

Answers

The answer is Rarefactions.

These are the parts of a wave that are further apart and the ones that are close together are called compressions.

I don’t think it is any of the choices stated above!

5. The boiling point of mercury is lower than
that of alcohol.

Answers

Answer:

I thinl it is I'm not sure though

Answer:

Imma say false

Explanation:

Just my opinion

a leaky faucet drips once each second, assuming 20 drop s = 1 ml, how many days will it take to leak 500ft^3

Answers

A leaky faucet drips once each second, we need to find out the time it will take for it to leak 500ft³ if 20 drops = 1 ml is as follow:

Step-by-step drop = 1/20 ml

Therefore, 1 ml = 20 drops

We need to find the volume of 500ft³ in ml:1 ft³ = 28.32 L1 L = 1000 ml

Therefore, 1 ft³ = 28.32 × 1000 ml500 ft³ = 14,160,000 ml

The number of drops in 14,160,000 ml = 14,160,000 × 20 = 283,200,000 drops Per second, the leaky faucet drips once.

Now calculating time:

Therefore, in a minute (60 seconds), it drips 60 times.

In an hour (60 minutes), it drips 60 × 60 = 3600 times.

In a day (24 hours), it drips 24 × 3600 = 86,400 times.

The number of days it will take to leak

500ft³ = 14,160,000 ml ÷ 86,400 drops/day

= 163.89 days or approximately 164 days.

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We are studying the properties of a 10 L vessel of an ideal gas at 300 K and 10 atm of pressure inside. We can fix the volume or the pressure of the vessel as we like. if we decrease the temperature to 200 k at constant pressure, what would the new volume be?

Answers

the characteristics of the a 10 L ideal gas vessel filled with it at a pressure of 10 atm and temperature of 300 K. any desired changes in the vessel's volume or pressure. 30L of liquid will be produced at constant pressure when the temperature is 200 k.

What is pressure, and what is the formula for it?

That amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Pressure is a force-area relationship; pressure = force area. Pascal is the SI pressure measurement (pa).

How is pressure determined?

The formula for calculating pressure is P = F / A, or force for unit of the surface area. The SI unit in measuring pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa). One Newton per sq.m of force exerted perpendicularly on a surface is equal to one pascal.

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A helicopter's speed increases
from 25 m/s to 60 m/s in 5
seconds. What is the acceleration
of this helicopter?

Answers

Answer:

the helis speed increased its speed by 35 m/s. Unless you are asking me what was the speed per second. if you were asking me for the speed per second then that would be a different answer

Explanation:

Answer:

7 m/s ^2

Explanation:

a=  60 m/s - 25 m/s over 5 s

a= 35 m/s over  5 s

a= 7 m/s^2



1. What are the criteria for accepting a theory as a physical law?

Answers

A theory must meet certain requirements in order to be accepted as a physical law , 1. It must explain the available data 2. It need to offer hypotheses that can be verified by science.

A physical law outlines the broad relationships between and, when necessary, changes in the physical quantities that define the states of a physical system. Typically, this is described mathematically. These laws are also known as natural laws or are associated with them in the physical realm. A physical law applies with a very high probability when it falls within its scope of applicability. Physical experiments and observations that are specifically focused are used to test this validity range. The law is established if the outcomes match the predictions.

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The scale on the horizontal axis is 9 s per division and on the vertical axis 9 m per division

What is the time represented by the third tic mark on the horizontal axis

Answer in units of s

Answers

Each tic mark indicates a time period of 9 seconds if the scale on the horizontal axis has a division of 9 seconds. As a result, the third tic point on the horizontal axis would denote the following period of time:

3 x 9 s = 27 s

Hence, 27 seconds are indicated by the third tic point on the horizontal axis.

It is true! The third tic point would represent three times nine seconds, or 27 seconds, as each tic mark on the horizontal axis denotes a time interval of nine seconds.Each tic mark indicates a time period of 9 seconds if the scale on the horizontal axis has a division of 9 seconds. As a result, the third tic point on the horizontal axis would denote the following period of time:Hence, 27 seconds are indicated by the third tic point on the horizontal axis.

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|5x-8|+5=32 how would i set this problem up to solve

Answers

You have the following expression:

\(\lvert5x-8\rvert+5=32\)

subtract 5 both sides of the equation:

\(\begin{gathered} \lvert5x-8\rvert=32-5 \\ \lvert5x-8\rvert=27 \end{gathered}\)

Take into account that the absolute value of any number is equal to the same number but positive.

Then, you have:

\(5x-8=-27\)

and

\(5x-8=27\)

Then, solve the previous equations:

5x - 8 = -27 add 8 both sides

5x = -27 + 8

5x = -19 divide by 5

x = -19/5

5x - 8 = 27 add 8 both sides

5x = 27 + 8

5x = 32 divide by 5

x = 32/5

Then, the solutions of the given equations are:

x = -19/5

x = 32/5

If the scale model works as predicted, the final product is guaranteed to be flawless.
•True
•False

Answers

Answer: true

Explanation:

If the scale model was working as it was predicted to work, then the final product is expected to be flawless. It should be a reasonable product if the scale model is working. Our answer is the option True.

We dont got the force so i got no clue what to do

⦁ How much work is it to lift a 20 kg sack of potatoes vertically 6.5 m?

Answers

Answer:

work = 1275.3 J

Explanation:

work = (force)(distance)cosø ------- force = ma

=(mass*acceleration)(distance)cosø

=(20*9.81)(6.5)cos0

=1275.3J

nite that the angle of cosine is the difference between the angle of force and the distance. in this case, the force and the distance are in the same direction. :)

A hiker moves 15 km due east then heads 8 km due west. What is the direction of the resultant vector?

Answers

Answer:

east

Explanation:

15km east

_______________

              X________

                    8km west

so you are where the xX is so you are still in the eastward direction

who sought to explore the inner world of the psyche, the realm of dreams and the unconscious?

Answers

Sigmund Freud sought to explore the inner world of the psyche, the realm of dreams, and the unconscious.

Sigmund Freud, an Austrian neurologist and the founder of psychoanalysis, dedicated his work to exploring the inner world of the psyche, including dreams and the unconscious. Freud believed that the human mind is composed of both conscious and unconscious elements, and he sought to understand the hidden motivations and processes that influence human behavior.

One of Freud's key contributions was his theory of the unconscious mind. According to Freud, the unconscious is a reservoir of thoughts, desires, memories, and emotions that are not readily accessible to conscious awareness. He believed that unconscious processes shape our thoughts, feelings, and behaviors, often in ways that we are unaware of.

Freud developed various techniques to explore the unconscious, such as free association and dream analysis. Through free association, he encouraged patients to speak freely and express their thoughts and associations without censorship, aiming to uncover hidden or repressed material that may be influencing their psychological well-being.

Dream analysis was another significant method used by Freud to explore the unconscious. He believed that dreams serve as a pathway to understanding unconscious desires, conflicts, and wishes. By analyzing the symbols and hidden meanings within dreams, Freud aimed to uncover the underlying thoughts and motivations that operate outside of conscious awareness.

By delving into the inner workings of the psyche and investigating the realms of dreams and the unconscious, Freud made significant contributions to the field of psychology and laid the foundation for psychoanalytic theory and practice.

Sigmund Freud is the influential figure who sought to explore the inner world of the psyche, including dreams and the unconscious. His work and theories, such as the concept of the unconscious mind and techniques like dream analysis, have had a lasting impact on the field of psychology and our understanding of the human mind.

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If a football player does 39000 J of work, how much power does the football player exert in 5 minutes

Answers

Answer:

Power = 130 watt

Explanation:

Power is described as the ability to do work, it is also defined as the amount of work in Joules done in a given time in seconds. Mathematically, it is represented as:

\(power = \frac{work (J)}{Time (s)}\)

In this example, power is calculated as follows:

Work = 39000 J

Time = 5 minutes

converting the time from minutes to seconds:

1 minute = 60 seconds

∴ 5 minutes = 60 × 5 = 300 seconds

\(\therefore power = \frac{39000}{300} \\power = 130 watt\)

N:B the unit for power can also be represented as Joules/seconds or J/s or JS⁻¹

Rosalinda wants to calculate the mass of Earth using Kepler's laws or Newton's universal law of gravitation.Which
data would allow her to find the mass of Earth?
the mass of the Sun and the orbital period of the moon
the moon's orbital period and distance from Earth
Earth's distance from the Sun and the moon's orbital period
Earth's orbital perigd and distance from the Sun

Answers

Answer:

On Edg 2021, the answer was "B = The moon's orbital period and distance from Earth"

Explanation:

I hope this is correct for you, if it isn't I am very sorry. Good luck! :)

Newton's principles of motion and the universal law of gravitation can be used to derive Kepler's third law. Make the centripetal force equal to the force of gravity. The following expression, which may also be written as P2=42a3GM, can be obtained by inserting an expression for the planet's velocity: GMr=4r2P2. Thus, option B is correct.

What Kepler's laws or Newton's universal law of gravitation?

Newton demonstrated that the force that causes something to fall toward the ground, like an apple, is the same force that causes the moon to orbit the Earth. The Sun, as well as any other star and its satellites, are affected by this universal force.

Newtonian physics and Kepler's laws serve as the foundation for planetary motion and orbital laws. Because these fundamental rules govern everything in the cosmos, they also govern how planets and artificial satellites move.

Therefore, If two things experience the same acceleration when the same force is applied to them, then they have the same inertial mass. Newton's second law makes use of the same mass.

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Sorry, just for clarification is this d? Thank you!

Sorry, just for clarification is this d? Thank you!

Answers

B

Explanation:

I suggest option B for you but you could research more on it

Which electric circuit arrangement will light the bulb? A. Two ends of a bulb are attached to the positive pole of two different batteries. B. Two ends of a bulb are attached to the positive and negative poles of the battery respectively. C. Two ends of a bulb are attached to the positive and negative poles of the battery respectively. D. Both the ends of the bulb are attached to the positive pole of the battery.

Answers

Answer:

B. Two ends of a bulb are attached to the positive and negative poles of the battery

Explanation:

1. Think of an engineering problem where having an object with a high (k) value would be a benefit?

2. Think of an engineering problem where having an object with a low (k) value would be a benefit?

Answers

An example of a project where an object with a high (k) value would be a benefit is one that has to do with the design of a rocket engine. Metals that have very high thermal conductivity are useful for building rocket engines. This is because of the amount of energy/heat that is required to be combusted by these parts to achieve a break from the earth's force field of gravity.

While engineering problems where having an object with a low (k) value would be a benefit is those that have to do with buildings. Buildings are made from concrete and brisk with have low thermal conductivity hence low

What does (k) Value mean?

A k-value (also known as a k-factor or lambda value) is a measure of a material's thermal conductivity, or how quickly heat moves through it. It is a basic quality that is independent of material quantities.

Thermal conductivities of different building materials may be compared using k-values. This is often useful in determining the possibility of heat transmission between the inside and exterior of a structure.

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Give the condition for constructive and destructive interference in terms of phase difference and path difference.

Answers

Constructive interference occurs when the phase difference is 2πn and destructive interference occurs when the phase difference is (2n+1)π.

The condition for destructive interference is that the path difference is equal to an integer multiple of one-half of the wavelength and the phase difference is an odd multiple of pi. Constructive interference occurs when the phase difference is 2πn, where n is an integer, and the path difference is an integer multiple of the wavelength (λ) of the waves, while destructive interference occurs when the phase difference is (2n+1)π, where n is an integer, and the path difference is an odd multiple of half the wavelength (λ/2) of the waves.

The conditions for constructive and destructive interference in terms of phase difference and path difference are given below:

Constructive Interference Condition:

Phase difference = 2πn

Path difference = nλ

where, n is an integer

Destructive Interference Condition: Phase difference = (2n+1)π

Path difference = (n+1/2)λ

where, n is an integer and λ is the wavelength of the waves.

Therefore, Constructive interference occurs when the phase difference is 2πn and  destructive interference occurs when the phase difference is (2n+1)π.

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c. s. lewis correctly understood that there are at least three important ways in which science and magic are similar. which is not one of the key similarities developed in west’s text

Answers

C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world

What is science and magic?

C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world. Science is concerned with understanding the natural world through observation and experimentation, while magic is a form of supernatural power that operates outside the laws of nature.

Lewis also believed that science and magic have different ethical implications. Science is morally neutral, while the use of magic often has negative consequences and can lead to a desire for power and control.

In his fiction, such as the Chronicles of Narnia series, Lewis often used the contrast between science and magic to explore larger philosophical and spiritual themes.

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A vehicle is traveling at a velocity of 30 meters per second. Exactly 5 second later, its velocity changed by a factor of 0.6. What was the vehicle's average acceleration over that time period?

Answers

Answer:

30MPH

Explanation:

30/5 = 6 x 5 = 30 mph

WILL MARK BRAINLIEST!!
Which of the following statements correctly defines circular motion?
a) It occurs when an object moves in any curved path around a point
b) It occurs when an object moves in a straight line
c) It occurs when an object moves along a closed path
d) It occurs when an object rotates about a point

Answers

the answer would be a

Answer:

option A -It occurs when an object moves in any curved path around a point

uniform circular motion occurs when a object is traveling with _______ speed in a circle

Answers

traveling with constant speed

Need help with these physic questions!

Need help with these physic questions!

Answers

Explanation:

4.

Given: Δd = 4 + 2 + 1 = 7km, Δt = 32 + 22 + 16 = 70mins

Required: V

Equation: V = Δd/Δt

Solution: V = 7/70

                  = 0.1km/min

Scientists studying bull sperm whales off the coast of South Africa have calculated that these mammals can descend to depths of nearly 3,000 m during their search for food. What is this depth in kilometers?

Answers

Answer:

3,00,000

Explanation:

because 1 m =100m so, 3000x100=300000

1 kilometer is 1000 meters so the answer would be 3 kilometers

a student is trying to determine the tensions in the strings connecting the boxes. if the acceleration of the system and the pulling force f are known, which of the following pairs of equations could be used to find the tensions?

Answers

The  pair of equations that could be used to find the tensions is given as

m3a3 = Tb & m2a2 = Ta - Tb

How do we find tensions in a string?

To find the force of tension in a string, we use the formula T = mg + ma.

We know that  tension is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension might also be described as the action-reaction pair of forces acting at each end of said elements.

If the three boxes are pulled to the left by strings with negligible mass on a horizontal surface, the masses of the boxes are m1, m2, and m3, where m3>m2>m1.  If the acceleration of the system and the pulling force  are known, the we have the tension equation is given as m3a3 = Tb & m2a2 = Ta - Tb.

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Quadrilateral MNOP is dilated by a scale factor of % to create quadrilateral M'N'O'P. The perimeter of quadrilateral MNOP is x units. What is the perimeter in units of quadrilateral M'N'O'P'? A. x units B. ( V2 x units COM X units D. 8/7 x units Translate the following sentence into an inequality: "The sum of y doubled and x is at most 4." Which of the following inequalities matches the sentence? Group of answer choices2(y + x) 4y + 2x < 42y + x 42y x + 4 the first four ionization energies of an atom x are 403, 2633, 3900 and 5080 kj/mol. to which periodic group does x belong? Schools almost over yall stay put til the end of the year xoxo The regular price of any souvenir costs x dollars. During a sale today, if a customer purchases one souvenir at its regular price, the price of each additional souvenir will be 0. 3x times less than the regular price. Write an equation that gives the total amount a customer pays today if the price of one souvenir is x dollars, and y represents the number of souvenirs they buy Can someone please HELP ME with this problem!!!!! I need HELP ASAP!!! RIGHT NOW!!! which name best describes the group of shapes below???? All of the following are informal reports EXCEPT(1 Point) informational report progress report business memo minutes of meeting 36. How many pages consist in a formal report for big projects?(1 Point) 5 to 200 or more 1 to 100 pages or more 10 to 150 pages of more 2 to 50 pages of more. 37. Based on the information below, which organizational pattern is being stated? "useful in showing time relationships, such as, five year profit figures or a series of events leading to a problem" (1 Point) compare/contrast chronological convention topic/function 38. If you are someone who has extensive amount of work experience and you are showing steady growth in your career then you would benefit by using which type of resume format? (1 Point) chronological resume functional resume combined resume none of the above What can be considered as a form of vulnerability? Which generalization can be made about the rise of Latin American nations?a.Spain gradually gave up control of its Latin American colonies.b.New Latin American republics had little difficulty achieving democratic rule.c.Under Spanish rule, Native Americans generally had equal rights and opportunities.d.Spanish colonies generally had to win independence through revolution. what is the meaning of anoxia in biology? A gap in the buildings at the base of the hill allowed for the extension of the eastern axis of the Hephaisteion across the Agora to the: matlab how to check if matrix is consistent ________ is a sedimentary rock formed mechanically from fine silt and clay particles. A) Sandstone B) Shale C) Basalt D) Limestone E) Granite There is a procedure by which to discover new ideals and revitalize existing concepts in fresh ways. In IMC, the ______ refers to this. name the only mammal species that regularly drinks milk as adults Which expression would be easier to simplify if you used the commuatativeproperty to change the grouping? 5. How do you determine the strength of the electric field of a charge?A. Putting a small test charge close to the electric field.B. Using a voltmeter.C. Using an ammeter.D. Putting a large test charge close to the electric field. Help! Best Answer = brainiest! 5. One application of genome research is genetic engineering of food plants. This practice is controversial, and the two articles were written from different points of view.a) On what points do the two articles agree? (2 points)b) On what point do the articles disagree most? (2 points)c) What, if anything, could you do to avoid GMO foods if you wanted to? (2 points)